Answer:
8 and 25
Step-by-step explanation:
We can set up an equation to help solve this problem.
Let x represent the smaller number
x+(x+17)=33
2x+17=33
2x=16
x=8
The smaller number is 8
Add 17 to 8
The larger number is 25
Answer:
A = 70 mm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h (b₁ + b₂)
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 10, b₁ = 10, b₂ = 4 , then
A =
× 10 × (10 + 4) = 5 × 14 = 70 mm²
Answer: $83.94
Step-by-step explanation:
69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94
Answer:
A rotation, then a dilation
Step-by-step explanation:
When two triangles are congruent, the three sides and angles will be the same.
A dilation is a type of transformation that works with scale factors and enlarges or reduces a figure, to create a new figure.
Now, the composition of transformations that will create a pair of similar but not congruent triangles are - a rotation, then a dilation.
Answer: 57.6m
Step-by-step explanation:
That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information
199.2m= top of off shore oil rig
-9.6 m is the base of the rig
observation deck is 1/6 of the total height
helly pad is 22.8m above the observation deck
First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m
So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m
Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.
Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m
So we know the total height is 208.8m
The observation deck is 34.8m
And the helly pad is 57.6m